Symmetry of anomalous dimension matrices explained

In a previous paper, one of us pointed out that the anomalous dimension matrices for all physical processes that have been calculated to date are complex symmetric, if stated in an orthonormal basis. In this paper we prove this fact and show that it is only true in a subset of all possible orthonorm...

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Detalles Bibliográficos
Autores principales: Seymour, Michael H, Sjödahl, Malin
Lenguaje:eng
Publicado: 2008
Materias:
Particle Physics - Phenomenology
Acceso en línea:https://dx.doi.org/10.1088/1126-6708/2008/12/066
http://cds.cern.ch/record/1137562
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author Seymour, Michael H
Sjödahl, Malin
author_facet Seymour, Michael H
Sjödahl, Malin
author_sort Seymour, Michael H
collection CERN
description In a previous paper, one of us pointed out that the anomalous dimension matrices for all physical processes that have been calculated to date are complex symmetric, if stated in an orthonormal basis. In this paper we prove this fact and show that it is only true in a subset of all possible orthonormal bases, but that this subset is the natural one to use for physical calculations.
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institution Organización Europea para la Investigación Nuclear
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publishDate 2008
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spelling cern-11375622019-09-30T06:29:59Zdoi:10.1088/1126-6708/2008/12/066http://cds.cern.ch/record/1137562engSeymour, Michael HSjödahl, MalinSymmetry of anomalous dimension matrices explainedParticle Physics - PhenomenologyIn a previous paper, one of us pointed out that the anomalous dimension matrices for all physical processes that have been calculated to date are complex symmetric, if stated in an orthonormal basis. In this paper we prove this fact and show that it is only true in a subset of all possible orthonormal bases, but that this subset is the natural one to use for physical calculations.arXiv:0810.5756CERN-PH-TH-2008-211CERN-TH-2008-211-[SIC!]MAN-HEP-2008-39oai:cds.cern.ch:11375622008-11-03
spellingShingle Particle Physics - Phenomenology
Seymour, Michael H
Sjödahl, Malin
Symmetry of anomalous dimension matrices explained
title Symmetry of anomalous dimension matrices explained
title_full Symmetry of anomalous dimension matrices explained
title_fullStr Symmetry of anomalous dimension matrices explained
title_full_unstemmed Symmetry of anomalous dimension matrices explained
title_short Symmetry of anomalous dimension matrices explained
title_sort symmetry of anomalous dimension matrices explained
topic Particle Physics - Phenomenology
url https://dx.doi.org/10.1088/1126-6708/2008/12/066
http://cds.cern.ch/record/1137562
work_keys_str_mv AT seymourmichaelh symmetryofanomalousdimensionmatricesexplained
AT sjodahlmalin symmetryofanomalousdimensionmatricesexplained

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